{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# valid_ndcgs = np.load(\"valid_ndcgs.npy\")\n",
    "# test_ndcgs = np.load(\"test_ndcgs.npy\")\n",
    "valid_ndcgs = np.load(\"valid_ndcgs_sgd.npy\")\n",
    "test_ndcgs = np.load(\"test_ndcgs_sgd.npy\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(162, 6040)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "valid_ndcgs.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "valid_ndcgs_tp = np.transpose(valid_ndcgs)\n",
    "test_ndcgs_tp = np.transpose(test_ndcgs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(6040, 162)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "valid_ndcgs_tp.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nVUT+f1R0qoElgttsAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115b47690>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# user_range= range(0,20)\n",
    "user_range= [0]\n",
    "for i in user_range:\n",
    "    sns.lineplot(x=range(valid_ndcgs_tp.shape[1]),y=valid_ndcgs_tp[i].tolist())\n",
    "# sns.lineplot(x=range(200),y=valid_ndcgs_tp[1].tolist())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\niEgMUrmLiMSg/w9hpzCdxL6bvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x115759a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in user_range:\n",
    "    sns.lineplot(x=range(user_scale.shape[1]),y=user_scale[i].tolist())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "user_scale = np.transpose(np.load(\"user_scale.npy\"))\n",
    "item_scale = np.transpose(np.load(\"item_scale.npy\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nopy7QqFQVECUc1coFIoKyP8DHiRzfBJVWegAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112262ad0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in user_range:\n",
    "    sns.lineplot(x=range(valid_ndcgs_tp.shape[1]),y=test_ndcgs_tp[i].tolist())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD8CAYAAACMwORRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112250510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in user_range:\n",
    "    sns.lineplot(x=range(valid_ndcgs_tp.shape[1]),y=((test_ndcgs_tp[i]+valid_ndcgs_tp[i])/2).tolist())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mean_ndcgs=(test_ndcgs_tp+valid_ndcgs_tp)/2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "mean_ndcgs_maxindex = np.argmax(mean_ndcgs,axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11242c810>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nyP8Hi+dcz/AmlfMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112336c10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.argmax(test_ndcgs_tp,axis=1),color=\"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x112417350>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAD8CAYAAACb4nSYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRBT6IiIhotAXEQmR/w8sIY8bVufiTgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112305dd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(np.argmax(valid_ndcgs_tp,axis=1),color=\"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11236dd10>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYQAAAD8CAYAAAB3u9PLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nREQkoEAQERFAgSAiIgEFgoiIAPD/AVMl4k6rMcfgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x112321490>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(mean_ndcgs_maxindex,color=\"m\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import scipy.sparse as sp\n",
    "def load_rating_file_as_matrix(filename):\n",
    "    '''\n",
    "    Read .rating file and Return dok matrix.\n",
    "    The first line of .rating file is: num_users\\t num_items\n",
    "    '''\n",
    "    # Get number of users and items\n",
    "    num_users, num_items = 0, 0\n",
    "    with open(filename, \"r\") as f:\n",
    "        line = f.readline()\n",
    "        while line != None and line != \"\":\n",
    "            arr = line.split(\"\\t\")\n",
    "            u, i = int(arr[0]), int(arr[1])\n",
    "            num_users = max(num_users, u)\n",
    "            num_items = max(num_items, i)\n",
    "            line = f.readline()\n",
    "    # Construct matrix\n",
    "#     mat = sp.dok_matrix((num_users + 1, num_items + 1), dtype=np.float32)\n",
    "    nnz_list = np.zeros(6040,dtype=int)\n",
    "    # self.num_users = num_users+1\n",
    "    # self.num_items = num_items+1\n",
    "    with open(filename, \"r\") as f:\n",
    "        line = f.readline()\n",
    "        while line != None and line != \"\":\n",
    "            arr = line.split(\"\\t\")\n",
    "            user, item = int(arr[0]), int(arr[1])\n",
    "#             mat[user, item] = 1.0\n",
    "            nnz_list[user] +=1\n",
    "            line = f.readline()\n",
    "    return nnz_list\n",
    "nnz_list = load_rating_file_as_matrix(\"../Data/movielens1m-paper.train.rating\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 51, 127,  49,  19, 196,  69,  29, 137, 104, 399])"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nnz_list[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12ee5ce90>"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAD8CAYAAAB5Pm/hAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12ee60f50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.regplot(x=nnz_list,y=mean_ndcgs_maxindex)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12ea61110>"
      ]
     },
     "execution_count": 147,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAD8CAYAAABthzNFAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12d857b10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(nnz_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 15,  85,  43, 133,   1,  10,  92, 124,   6, 160])"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_ndcgs_maxindex[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 51, 127,  49,  19, 196,  69,  29, 137, 104, 399])"
      ]
     },
     "execution_count": 149,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nnz_list[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
